The Effect of the Transfer Matrix Applied to MIMO Systems in the Analysis of Cardiovascular Dynamics

MIMO systems allow us to work in the state-space without restrictions. The use of the Modern Control Theory let to specify new behaviors of complex structures. We describe the dynamics of the cardiovascular system by finding the input-output relationships in the state-space of a functional cardiac model, based on state equations and controllability criteria of control theory. The use of the transfer matrix applied to dynamic systems with many inputs and outputs allows addressing the treatment of cardiovascular dynamics with a different perspective. Based on the controllability criteria of dynamic systems we present an alternative method of analyzing the state of the arterial wall as a function of compliance. The unit step response of the multiple-input multiple-output system model illustrates the damping effect of the arterial wall to the pulsatility of the heart. In addition to verifying that hypertensive patients have less inertia of blood flow, it established that the internal controllability of the system can be affected as a function of input-output correlations.